MinT - Information on Result #887681

Information on Result #887681

Linear OOA(3⁶⁶, 114, F₃, 2, 21) (dual of [(114, 2), 162, 22]-NRT-code), using extracting embedded OOA based on digital (45, 66, 114)-net over F₃, using

trace code for nets [i] based on digital (1, 22, 38)-net over F₂₇, using
- net from sequence [i] based on digital (1, 37)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 1 and N(F) ≥ 38, using
    - a function field by SÃ©mirat [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3⁶⁷, 114, F₃, 2, 21) (dual of [(114, 2), 161, 22]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3⁶⁶, 57, F₃, 3, 21) (dual of [(57, 3), 105, 22]-NRT-code)	[i]		OOA Folding
3	Linear OOA(3⁶⁶, 57, F₃, 4, 21) (dual of [(57, 4), 162, 22]-NRT-code)	[i]		OOA Folding